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Automated theorem proving with large language models in Lean 4 is commonly approached through either step-level tactic prediction with tree search or whole-proof generation. These two paradigms represent opposite granularities for…

Artificial Intelligence · Computer Science 2026-05-13 Shuo Xu , Jiakun Zhang , Junyu Lai , Chun Cao , Jingwei Xu

Reinforcement learning (RL) is central to improving reasoning in large language models (LLMs) but typically requires ground-truth rewards. Test-Time Reinforcement Learning (TTRL) removes this need by using majority-vote rewards, but relies…

Machine Learning · Computer Science 2025-10-06 Aleksei Arzhantsev , Otmane Sakhi , Flavian Vasile

Recent advances in large language model (LLM) reasoning, led by reinforcement learning with verifiable rewards (RLVR), have inspired self-play post-training, where models improve by generating and solving their own problems. While self-play…

Machine Learning · Computer Science 2025-11-03 Justin Yang Chae , Md Tanvirul Alam , Nidhi Rastogi

While reinforcement learning (RL) demonstrated remarkable success in enhancing the reasoning capabilities of language models, the training dynamics of RL in LLMs remain unclear. In this work, we provide an explanation of the RL training…

Machine Learning · Computer Science 2025-09-30 Xingwu Chen , Tianle Li , Difan Zou

Language has long been conceived as an essential tool for human reasoning. The breakthrough of Large Language Models (LLMs) has sparked significant research interest in leveraging these models to tackle complex reasoning tasks. Researchers…

Existing Large Reasoning Models (LRMs) have shown the potential of reinforcement learning (RL) to enhance the complex reasoning capabilities of Large Language Models~(LLMs). While they achieve remarkable performance on challenging tasks…

Artificial Intelligence · Computer Science 2025-03-19 Huatong Song , Jinhao Jiang , Yingqian Min , Jie Chen , Zhipeng Chen , Wayne Xin Zhao , Lei Fang , Ji-Rong Wen

Mathematical reasoning remains a significant challenge for Large Language Models (LLMs) due to hallucinations. When combined with formal proof assistants like Lean, these hallucinations can be eliminated through rigorous verification,…

Artificial Intelligence · Computer Science 2026-01-21 Robert Joseph George , Suozhi Huang , Peiyang Song , Anima Anandkumar

Recent advances in reasoning-centric language models have highlighted reinforcement learning (RL) as a promising method for aligning models with verifiable rewards. However, it remains contentious whether RL truly expands a model's…

Computation and Language · Computer Science 2025-06-02 Mingjie Liu , Shizhe Diao , Ximing Lu , Jian Hu , Xin Dong , Yejin Choi , Jan Kautz , Yi Dong

As test-time scaling becomes a pivotal research frontier in Large Language Models (LLMs) development, contemporary and advanced post-training methodologies increasingly focus on extending the generation length of long Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-05-28 Mingyang Song , Mao Zheng

Recent advancements in large language models (LLMs) have been driven by their emergent reasoning capabilities, particularly through long chain-of-thought (CoT) prompting, which enables thorough exploration and deliberation. Despite these…

Computation and Language · Computer Science 2026-04-09 Junnan Liu , Hongwei Liu , Songyang Zhang , Kai Chen

Test-time scaling has enabled Large Language Models (LLMs) to tackle complex reasoning, yet the limitations of current Chain-of-Thought (CoT) evaluation obscures whether performance gains stem from genuine reasoning or mere verbosity. To…

Artificial Intelligence · Computer Science 2026-01-08 Zhizhang Fu , Yuancheng Gu , Chenkai Hu , Hanmeng Liu , Yue Zhang

Automated Theorem Proving (ATP) represents a core research direction in artificial intelligence for achieving formal reasoning and verification, playing a significant role in advancing machine intelligence. However, current large language…

Artificial Intelligence · Computer Science 2025-12-23 Sirui Li , Wangyue Lu , Xiaorui Shi , Ke Weng , Haozhe Sun , Minghe Yu , Tiancheng Zhang , Ge Yu , Hengyu Liu , Lun Du

The integration of slow-thinking mechanisms into large language models (LLMs) offers a promising way toward achieving Level 2 AGI Reasoners, as exemplified by systems like OpenAI's o1. However, several significant challenges remain,…

Computation and Language · Computer Science 2025-02-10 Xiao-Wen Yang , Xuan-Yi Zhu , Wen-Da Wei , Ding-Chu Zhang , Jie-Jing Shao , Zhi Zhou , Lan-Zhe Guo , Yu-Feng Li

Most progress in recent coder models has been driven by supervised fine-tuning (SFT), while the potential of reinforcement learning (RL) remains largely unexplored, primarily due to the lack of reliable reward data/model in the code domain.…

Software Engineering · Computer Science 2025-05-27 Huaye Zeng , Dongfu Jiang , Haozhe Wang , Ping Nie , Xiaotong Chen , Wenhu Chen

Chain-of-thought (CoT) reasoning improves large language models (LLMs) on difficult tasks, but it also makes inference expensive because every intermediate step must be generated as a discrete token. Latent reasoning reduces visible token…

Computation and Language · Computer Science 2026-05-11 Xuan Li , Yining Wang , Yuchen Liu , Guanjun Liu , Delai Qiu , Shengping Liu , Jiaen Liang , Wei Huang , Jun Yu , Junnan Zhu

Large language models (LLMs) have shown impressive capabilities, but still struggle with complex reasoning tasks requiring multiple steps. While prompt-based methods like Chain-of-Thought (CoT) can improve LLM reasoning at inference time,…

Artificial Intelligence · Computer Science 2024-11-25 Haolin Chen , Yihao Feng , Zuxin Liu , Weiran Yao , Akshara Prabhakar , Shelby Heinecke , Ricky Ho , Phil Mui , Silvio Savarese , Caiming Xiong , Huan Wang

This survey explores recent advancements in reasoning large language models (LLMs) designed to mimic "slow thinking" - a reasoning process inspired by human cognition, as described in Kahneman's Thinking, Fast and Slow. These models, like…

Artificial Intelligence · Computer Science 2025-05-09 Qianjun Pan , Wenkai Ji , Yuyang Ding , Junsong Li , Shilian Chen , Junyi Wang , Jie Zhou , Qin Chen , Min Zhang , Yulan Wu , Liang He

Since the inception of Large Language Models (LLMs), the quest to efficiently train them for superior reasoning capabilities has been a pivotal challenge. The dominant training paradigm for LLMs is based on next token prediction (NTP).…

Computation and Language · Computer Science 2025-02-21 Pengxiao Lin , Zhongwang Zhang , Zhi-Qin John Xu

Reinforcement learning (RL) has achieved remarkable success in LLM reasoning, but whether it can also improve direct recall of parametric knowledge remains an open question. We study this question in a controlled zero-shot, one-hop,…

Computation and Language · Computer Science 2026-05-11 Wanli Yang , Hongyu Zang , Junwei Zhang , Wenjie Shi , Du Su , Jingang Wang , Xueqi Cheng , Fei Sun

Reasoning is a fundamental substrate for solving novel and complex problems. Deliberate efforts in learning and developing frameworks around System 2 reasoning have made great strides, yet problems of sufficient complexity remain largely…

Computation and Language · Computer Science 2024-10-18 Matthew Ho , Vincent Zhu , Xiaoyin Chen , Moksh Jain , Nikolay Malkin , Edwin Zhang